A quiver for holding arrows or bolts. The quiver may be releasably attached to a mounting rail on a bow, belt, or the like. The quiver includes a frame connecting two end structures, each end structure having arrow head pockets, arrow shaft clips, and a connector for attachment to the frame. At a midsection of the frame is a mounting block with an attachment mechanism for releasably securing the quiver to the mounting rail. The preferable mounting rail is of the Picatinny type. A first set of arrows (three in the preferred embodiment) may be positioned with arrow heads in the arrow head pockets of one end structure and arrow shafts in the arrow shaft clips of the second end structure. A second set of arrows is positioned in a similar manner but in the opposite direction between the end structures on the frame.